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Mashcka [7]
2 years ago
8

HELP WILL MARK BRAINLIEST!

Mathematics
2 answers:
svp [43]2 years ago
8 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The given algebraic expression is a polynomial :

because it has no square roots of variables, no fractional or negative powers on the variables, or variables in the denominators of any fractions.

denpristay [2]2 years ago
3 0

Answer:

All the exponents in the algebraic expression must be non-negative integers in order for the algebraic expression to be a polynomial. As a general rule of thumb if an algebraic expression has a radical in it then it isn't a polynomial

so no its not.

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Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.
gladu [14]

Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center (0 , 0 )  

  and major axis parallel to the x-axis is x²/a² + y²/b² = 1  

# a > b  

- The length of the major axis is 2a  

- The coordinates of the vertices are ( ± a , 0 )  

- The length of the minor axis is 2b  

- The coordinates of the co-vertices are ( 0 , ± b )  

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²  

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

∵ Its height is 12 units

∴ The length of the minor axis is = 12

∴ 2b = 12 ⇒ divide both sides by 2

∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

∴ x²/(361/4) + y²/36 = 1 ⇒ simplify it

∴ 4x²/361 + y²/36 = 1

* The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

7 0
3 years ago
The product of a particular number and a second value, which is given by the sum of 8 and the original number, is 65. What is th
Marina86 [1]

Given:

The product of a particular number is 65.

Second value is given by the sum of 8 and the original number.

To find:

The unknown number.

Solution:

Let x be the unknown number.

Then, second number = x+8

The product of a particular number is 65.

x\times (x+8)=65

x^2+8x=65

x^2+8x-65=0

Splitting the middle term, we get

x^2+13x-5x-65=0

x(x+13)-5(x+13)=0

(x-5)(x+13)=0

Using zero product property, we get

x-5=0 and x+13=0

x=5 and x=-13

So, the unknown number is either 5 or -13.

Therefore, the correct option is B.

8 0
2 years ago
One leg of a right isosceles Triangle is 6ft what is The area of The Triangle
AVprozaik [17]

Answer:

18ftx^{2}

Step-by-step explanation:

so fine area you do side x side and divide by two

6 x 6= 36

36/2 = 18

5 0
3 years ago
A drawing of a room has scale of 1/4 inch = 1 ft. what is the proportional relationship according to scale?
exis [7]

Answer:

for every 1/4in on the paper its 1ft in real life

Step-by-step explanation:

6 0
3 years ago
A fair coin is flipped eight times. What is the probability of the coin landing heads up exactly 2 times?
dimulka [17.4K]

Answer:

50%

Step-by-step explanation:

no matter how many times it is flip you will get heads or tails.

8 0
3 years ago
Read 2 more answers
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